115 citations · 388 across the 61 of their papers we have counts for
59 papers · 1 filter
Symmetries of Random Partitions
Alexander Gnedin
This paper is motivated by a recent result of Pitman and Yakubovich stating that a partially exchangeable, stationary (PES) random partition of is exchangeable. This e…
Records in the Infinite Occupancy Scheme
Zakaria Derbazi, Alexander Gnedin, Alexander Marynych
We consider the classic infinite occupancy scheme, where balls are thrown in boxes independently, with probability of hitting box . Each time a box receives its first ball…
Random Permutations and Queues
Alexander Gnedin, Dudley Stark
Given a growth rule which sequentially constructs random permutations of increasing degree, the stochastic process version of the rencontre problem asks what is the limiting propor…
The Last-Success Stopping Problem with Random Observation Times
Alexander Gnedin, Zakaria Derbazi
Suppose independent Bernoulli trials are observed sequentially at random times of a mixed binomial process. The task is to maximise, by using a nonanticipating stopping strateg…
Running minimum in the best-choice problem
Alexander Gnedin, Patryk Kozieł, Małgorzata Sulkowska
We consider the best-choice problem for independent (not necessarily iid) observations with the aim of selecting the sample minimum. We show that in this full ge…
Trapping the Ultimate Success
Alexander Gnedin, Zakaria Derbazi
We introduce a betting game, where the gambler aims to guess the last success epoch from past observed data. The player may bet on the event that no further successes occur, or cho…